Answer:
A. EDHG is congruent to PRLQ ; the simplified fraction scale of EDHG to this polygon is 1.5
(Multiply the values of the sides by 1.5 and you will see that you will get the same values of the polygon EDHG)
B. cannot be because the angles are the same .
C. cannot be because the corresponding sides are congruent
D. cannot be because the corresponding side are proportional
E. cannot be because corresponding angles are proportional
The quantity of liters of the 2% and 66% solutions should you mix together is 4.75 and 11.25 liters.
let
- x = liters of 2% solution
- y = liters of 66% solution
x + y = 16
0.02x + 0.66y = 0.47 × 16
from (1)
x = 16 - y
Substitute into (2)
0.02x + 0.66y = 0.47 × 16
0.02(16 - y) + 0.66y = 7.52
0.32 - 0.02y + 0.66y = 7.52
- 0.02y + 0.66y = 7.52 - 0.32
0.64y = 7.20
y = 7.20/0.64
y = 11.25 liters
Substitute y = 11.25 liters into (1)
x + y = 16
x + 11.25 = 16
x = 16 - 11.25
x = 4.75 liters
Learn more about linear equation:
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The sum of angles of a pentagon is 540°, so x must be chosen to make that so.
85 + 110 + x + 120 + 120 = 540
540 -435 = x = 105
_____
The formula usually used to find the degree measure of the internal angles of an n-sided polygon is (n -2)·180°. For n=5, this is 3·180° = 540°.
-27+8
( The minus signs multiply each other to form a +. )
= -19
